What is 25.446428571429 percent of 1500 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1500 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 1500 is 100%, so we can write it down as 1500=100%.
4. We know, that x is 25.446428571429% of the output value, so we can write it down as x=25.446428571429%.
5. Now we have two simple equations:
1) 1500=100%
2) x=25.446428571429%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
1500/x=100%/25.446428571429%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 25.446428571429% of 1500

1500/x=100/25.446428571429
(1500/x)*x=(100/25.446428571429)*x       - we multiply both sides of the equation by x
1500=3.9298245614034*x       - we divide both sides of the equation by (3.9298245614034) to get x
1500/3.9298245614034=x
381.69642857143=x
x=381.69642857143

now we have:
25.446428571429% of 1500=381.69642857143